S.F. Atkishkin1

1 JSC «Scientific Research Institute «EKRAN» (Samara, Russia)

The article deals with mathematical model of microwave frequency tripler based on a baluns and quadrature couplers. The article goals are: 1) development of the mathematical model of novel microwave frequency tripler; 2) investigation of the developed microwave tripler model for factors affecting input and output reflection coefficient, third harmonic output power and parasitic harmonics output power. Expressions for the input reflection coefficient, output reflection coefficient, parasitic harmonics amplitude and useful signal amplitude are derived. The derived mathematical model is based on the large signal scattering parameters (LSSP). Based on the derived equations mathematical simulation of the input/output reflection coefficients, parasitic and useful harmonics power was performed. Simulation results are showed that proposed tripler scheme provides balanced suppression of parasitic harmonics (first and second) and reduction of input/output reflection coefficient. The influence of amplitude and phase imbalance of baluns, quadrature couplers and active devices on the reflection coefficient, amplitude of desired and parasitic output waves was analyzed. For verification of derived tripler mathematical model additional simulation by harmonic balance method was performed. Results of tripler simulation by harmonic balance method were compared with result derived by obtained equations. A satisfactory match within ±3 dB of both simulation results is observed.

Atkishkin S.F. Mathematical model of frequency tripler based on the quadrature couplers and baluns. Radioengineering. 2021. V. 86. № 11. P. 72−79. DOI: https://doi.org/10.18127/j00338486-202111-12 (in Russian)

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